Details

sample594.0ms

Algorithm

intervals

Results

414.0ms	965×	body	80	nan
36.0ms	306×	body	80	valid
0.0ms	1×	body	320	valid

simplify14.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	21
1	38	21
2	99	21
3	388	21
4	1231	21
5	3127	21
6	4656	21
done	5000	21

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
0.0b	(+ (* x (log y)) z)
0.1b	(* (- b 0.5) (log c))
0.2b	(* x (log y))

rewrite3.8s

Algorithm

rewrite-expression-head

Rules

26×	`add-log-exp`
20×	`add-sqr-sqrt`
18×	`log-prod`
16×	`*-un-lft-identity` `sum-log`
14×	`add-cube-cbrt`
10×	`pow1`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
7×	`associate-+l+`
2×	`+-commutative` `flip3-+` `pow-prod-down` `associate-l/` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 87

Calls

4 calls:

3.7s	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
17.0ms	(+ (* x (log y)) z)
47.0ms	(* (- b 0.5) (log c))
17.0ms	(* x (log y))

series983.0ms

Counts

4 → 12

Calls

4 calls:

775.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
76.0ms	(+ (* x (log y)) z)
80.0ms	(* (- b 0.5) (log c))
51.0ms	(* x (log y))

simplify948.0ms

Counts

99 → 99

Iterations

Useful iterations: done (942.0ms)

Iter	Nodes	Cost
0	217	1279
1	479	1229
2	1462	1112
done	5000	1095

prune530.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt y))
0.1b	(* (- b 0.5) (log c))
0.2b	(* x (log (sqrt y)))
0.2b	(* (log (sqrt y)) x)

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
24×	`log-prod`
20×	`*-un-lft-identity`
18×	`add-cube-cbrt`
17×	`pow1`
14×	`associate-l`
13×	`associate-r`
11×	`add-exp-log`
10×	`log-pow` `add-cbrt-cube`
9×	`distribute-rgt-in` `distribute-lft-in` `sqrt-prod`
4×	`add-log-exp`
3×	`sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`associate-*l/`
1×	`flip3--` `rem-log-exp` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 100

Calls

4 calls:

2.0ms	(log (sqrt y))
37.0ms	(* (- b 0.5) (log c))
22.0ms	(* x (log (sqrt y)))
32.0ms	(* (log (sqrt y)) x)

series445.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(log (sqrt y))
76.0ms	(* (- b 0.5) (log c))
119.0ms	(* x (log (sqrt y)))
161.0ms	(* (log (sqrt y)) x)

simplify1.9s

Counts

112 → 112

Iterations

Useful iterations: 3 (869.0ms)

Iter	Nodes	Cost
0	198	1056
1	383	1000
2	950	871
3	2228	859
done	5000	859

prune763.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
0.2b	(* (log (sqrt y)) x)
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod` `associate-+l+`
22×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-+r+`
8×	`pow1` `associate-*l/`
6×	`add-exp-log` `associate-l` `add-cbrt-cube` `add-log-exp`
4×	`flip3--` `frac-add` `flip--`
3×	`associate-r` `log-pow`
2×	`pow1/3`
1×	`+-commutative` `sqrt-pow1` `flip3-+` `pow1/2` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

41.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
34.0ms	(* (log (sqrt y)) x)
2.0ms	(cbrt c)
2.0ms	(cbrt c)

series1.0s

Counts

4 → 12

Calls

4 calls:

261.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
176.0ms	(* (log (sqrt y)) x)
289.0ms	(cbrt c)
318.0ms	(cbrt c)

simplify1.1s

Counts

107 → 107

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	221	1610
1	581	1271
2	1946	1119
done	5002	1073

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt c)
0.6b	(cbrt c)
0.6b	(cbrt (cbrt c))
0.6b	(cbrt (cbrt c))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt c)
1.0ms	(cbrt c)
1.0ms	(cbrt (cbrt c))
1.0ms	(cbrt (cbrt c))

series1.4s

Counts

4 → 12

Calls

4 calls:

289.0ms	(cbrt c)
274.0ms	(cbrt c)
449.0ms	(cbrt (cbrt c))
397.0ms	(cbrt (cbrt c))

simplify4.6s

Counts

62 → 62

Iterations

Useful iterations: done (4.6s)

Iter	Nodes	Cost
0	42	346
1	75	328
2	147	300
3	304	288
4	970	288
5	4752	288
done	5001	276

prune617.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes1.1s

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	28	39
1	39	39
done	39	39

end0.0ms

sample9.9s

Algorithm

intervals

Results

4.3s	27805×	body	80	nan
2.0s	9166×	body	80	valid
3.0ms	4×	body	640	valid
1.0ms	2×	body	320	valid